Question

use scientific notation to determine which of these numbers has the least value 98,789000 987890000 or 89987000

Answers

Answered by GPT-4o mini
To compare the numbers using scientific notation, we need to convert each of them.

1. **98,789,000** can be expressed as:
\[
9.8789 \times 10^7
\]

2. **987,890,000** can be expressed as:
\[
9.8789 \times 10^8
\]

3. **89,987,000** can be expressed as:
\[
8.9987 \times 10^7
\]

Now we can compare the numbers:

- \( 9.8789 \times 10^7 \) (98,789,000)
- \( 9.8789 \times 10^8 \) (987,890,000)
- \( 8.9987 \times 10^7 \) (89,987,000)

To compare these, we note:

- \( 9.8789 \times 10^8 \) is clearly the largest because \( 10^8 \) is a higher power of ten than \( 10^7 \).

Now comparing the two numbers \( 9.8789 \times 10^7 \) and \( 8.9987 \times 10^7 \):

- Since both numbers are multiplied by \( 10^7 \), we just need to compare \( 9.8789 \) and \( 8.9987 \).

Since \( 8.9987 \) is less than \( 9.8789 \), we conclude:

The number with the least value is **89,987,000**.
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